A Novel Rumor Propagation Model on Social Networks

2016 ◽  
Vol 1 (1) ◽  
pp. 1 ◽  
Author(s):  
Junjie Chen ◽  
Weili Wu ◽  
Ailian Wang
Keyword(s):  
Social Networks ◽  
Propagation Model ◽  
Rumor Propagation

scholarly journals A Bio-Inspired Defensive Rumor Confinement Strategy in Online Social Networks

2021 ◽  
Vol 33 (1) ◽  
pp. 47-70
Author(s):  
Santhoshkumar Srinivasan ◽  
Dhinesh Babu L. D.
Keyword(s):  
Social Networks ◽  
Online Social Networks ◽  
Propagation Model ◽  
Information Propagation ◽  
Control Approach ◽  
Rumor Propagation ◽  
Immunization Strategies ◽  
New Information ◽  
The Individual ◽  
Rumor Control

Online social networks (OSNs) are used to connect people and propagate information around the globe. Along with information propagation, rumors also penetrate across the OSNs in a massive order. Controlling the rumor propagation is utmost important to reduce the damage it causes to society. Educating the individual participants of OSNs is one of the effective ways to control the rumor faster. To educate people in OSNs, this paper proposes a defensive rumor control approach that spreads anti-rumors by the inspiration from the immunization strategies of social insects. In this approach, a new information propagation model is defined to study the defensive nature of true information against rumors. Then, an anti-rumor propagation method with a set of influential spreaders is employed to defend against the rumor. The proposed approach is compared with the existing rumor containment approaches and the results indicate that the proposed approach works well in controlling the rumors.

Global Stability and Bifurcation Analysis of a Rumor Propagation Model with Two Discrete Delays in Social Networks

2020 ◽  
Vol 30 (12) ◽  
pp. 2050175
Author(s):  
Linhe Zhu ◽  
Xuewei Wang ◽  
Zhengdi Zhang ◽  
Shuling Shen
Keyword(s):  
Social Networks ◽  
Global Stability ◽  
Equilibrium Points ◽  
Propagation Model ◽  
Logistic Growth ◽  
Positive Equilibrium ◽  
Normal Form Theory ◽  
Center Manifold Theorem ◽  
Rumor Propagation ◽  
Discrete Delays

In this paper, we improve an Ignorant-Lurker-Spreader-Removal (ILSR) rumor propagation model as in [Yang et al., 2019] in social networks with consideration to Logistic growth and two discrete delays. First, we prove the existence of equilibrium points by calculating the basic reproduction number according to the next generation matrix. Regarding the two discrete delays as bifurcating parameters, the local asymptotical stability and Hopf bifurcation of the positive equilibrium point are discussed for six different scenarios by analyzing the characteristic equations of linearized systems. Applying the normal form theory and the center manifold theorem, some important conclusions about the stability and direction of bifurcating periodic solution are given when the two time delays are equal. Subsequently we study the global stability of the equilibrium points by constructing Lyapunov functions when the two delays disappear. Finally, we verify the conclusions through numerical simulations and perform sensitivity analysis on the basic reproduction numbers.

Dynamics of a Rumor Propagation Model with Stochastic Perturbation On Homogeneous Social Networks

2021 ◽  
Author(s):  
Yuhuai Zhang ◽  
Jianjun Zhu
Keyword(s):  
Social Networks ◽  
Transmission Rate ◽  
Rapid Development ◽  
Stochastic Perturbation ◽  
Propagation Model ◽  
Rumor Propagation ◽  
Long Time ◽  
Global Positive Solution ◽  
Stochastic Properties

Abstract The rapid development of information society highlights the important role of rumors in social communication, and its propagation has a significant impact on human production and life. The investigation of the influence of uncertainty on rumor propagation is an important issue in the current communication study. Due to incomprehension about others and the stochastic properties of the users' behavior, the transmission rate between individuals on social network platforms is usually not a constant value. In this paper, we propose a new rumor propagation model on homogeneous social networks from the deterministic structure to the stochastic structure. Firstly, a unique global positive solution of rumor propagation model is obtained. Then, we verify that the extinction and persistence of stochastic rumor propagation model are restricted by some conditions. IfR *0< 1 and the noise intensity s i (i = 1,2,3) satisfies some certain conditions, rumors will extinct with a probability one. If R *0 > 1, rumor-spreading individuals will continue to exist in the system, which means the rumor will prevail for a long time. Finally, through some numerical simulations, the validity and rationality of the theoretical analysis are effectively verified.

scholarly journals Using Mobile Nodes to Control Rumors in Big Data Based on a New Rumor Propagation Model in Vehicular Social Networks

IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 62612-62621 ◽  
Author(s):  
Youke Wu ◽  
Haiyang Huang ◽  
Junjie Zhao ◽  
Cheng Wang ◽  
Tian Wang
Keyword(s):  
Social Networks ◽  
Big Data ◽  
Propagation Model ◽  
Mobile Nodes ◽  
Rumor Propagation

scholarly journals C-SIW Rumor Propagation Model with Variable Propagation Rate and Perception Mechanism in Social Networks

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Liqing Qiu ◽  
Shuqi Liu
Keyword(s):  
Social Networks ◽  
Propagation Rate ◽  
Propagation Model ◽  
Experimental Simulation ◽  
Field Equations ◽  
Dynamic Propagation ◽  
Rumor Propagation ◽  
Key Points ◽  
State Changes ◽  
The Individual

The propagation of rumor has become a common phenomenon in social networks. Studying the dynamic propagation of rumor can help locate the key points to control rumor propagation. To further research the internal motivation of state transition, a corrector-ignorant-spreader-weakener (C-SIW) model is proposed in this paper. When the individual changes state to transmit rumor, the neighbor may have a significant impact on rumor propagation. Considering the point, this paper constructs a function to describe the propagation rate, which relates to the state of neighbors and the reputation of the spreader. In addition, perception from life also can cause individual state changes. Based on the above fact, the links from the spreader and the weakener to the corrector are added to describe the perception mechanism. Then, combining the derived average field equations, the steady state of the model is analyzed and verified in experimental simulation. Moreover, the experimental results on different networks show that the perception mechanism reduces the rumor influence. Besides, the variable propagation rate can position the fast-growing stage of rumor propagation more accurately and facilitate the control of rumor propagation.

scholarly journals ECRModel: An Elastic Collision-Based Rumor-Propagation Model in Online Social Networks

IEEE Access ◽  
2016 ◽  
Vol 4 ◽  
pp. 6105-6120 ◽  
Author(s):  
Zhenhua Tan ◽  
Jingyu Ning ◽  
Yuan Liu ◽  
Xingwei Wang ◽  
Guangming Yang ◽  
...  
Keyword(s):  
Social Networks ◽  
Online Social Networks ◽  
Elastic Collision ◽  
Propagation Model ◽  
Rumor Propagation

Dynamic Analysis of a Reaction–Diffusion Rumor Propagation Model

2016 ◽  
Vol 26 (06) ◽  
pp. 1650101 ◽  
Author(s):  
Hongyong Zhao ◽  
Linhe Zhu
Keyword(s):  
Social Networks ◽  
Time Delay ◽  
New Media ◽  
Equilibrium Point ◽  
Rapid Development ◽  
Upper And Lower Solutions ◽  
Propagation Model ◽  
Traveling Wave Solution ◽  
Rumor Spreading ◽  
Rumor Propagation

The rapid development of the Internet, especially the emergence of the social networks, leads rumor propagation into a new media era. Rumor propagation in social networks has brought new challenges to network security and social stability. This paper, based on partial differential equations (PDEs), proposes a new SIS rumor propagation model by considering the effect of the communication between the different rumor infected users on rumor propagation. The stabilities of a nonrumor equilibrium point and a rumor-spreading equilibrium point are discussed by linearization technique and the upper and lower solutions method, and the existence of a traveling wave solution is established by the cross-iteration scheme accompanied by the technique of upper and lower solutions and Schauder’s fixed point theorem. Furthermore, we add the time delay to rumor propagation and deduce the conditions of Hopf bifurcation and stability switches for the rumor-spreading equilibrium point by taking the time delay as the bifurcation parameter. Finally, numerical simulations are performed to illustrate the theoretical results.

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